Loop quantum gravity: an outside view

Details Loop quantum gravity: an outside view Loop quantum gravity: an outside view

2005-01-14

arxiv.org/abs/hep-th/0501114v4

Class.Quant.Grav.22:R193,2005

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, 11 figures; v2: substantially revised, references added, resubmitted to Class. Quant. Grav.; v3: further substantial

Scientific paper

10.1088/0264-9381/22/19/R01

We review aspects of loop quantum gravity in a pedagogical manner, with the aim of enabling a precise but critical assessment of its achievements so far. We emphasise that the off-shell (`strong') closure of the constraint algebra is a crucial test of quantum space-time covariance, and thereby of the consistency, of the theory. Special attention is paid to the appearance of a large number of ambiguities, in particular in the formulation of the Hamiltonian constraint. Developing suitable approximation methods to establish a connection with classical gravity on the one hand, and with the physics of elementary particles on the other, remains a major challenge.

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